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A body is given a velocity sqrt(2gr) at...

A body is given a velocity `sqrt(2gr)` at the highest point of a half circular smooth track which is joined by a rough horizontal track whose co`-` efficient of friction is `mu=0.5`. Then the distance travelled by particle before it stops on horizontal track is `:(r=1m)`

A

`1m`

B

`4m`

C

`6m`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C

By work energy theorem
`W_(g)+W_(1)=K_(f)-K_(i)`
`rArr 3mgr=mu mg S`
`rArr S=(3r)/(mu)=(3xx1)/(0.5)=6m`
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Knowledge Check

  • A particle of mass m is given a velocity u on a rough horizontal surface of friction coefficient mu . The average power imparted by friction until it stops is

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